On the solutions of generalized Bogomolny equations
نویسندگان
چکیده
منابع مشابه
Expansion for the solutions of the Bogomolny equations on the torus
We show that the solutions of the Bogomolny equations for the Abelian Higgs model on a two-dimensional torus, can be expanded in powers of a quantity ǫ measuring the departure of the area from the critical area. This allows a precise determination of the shape of the solutions for all magnetic fluxes and arbitrary position of the Higgs field zeroes. The expansion is carried out to 51 orders for...
متن کاملGeometric Langlands And The Equations Of Nahm And Bogomolny
Geometric Langlands duality relates a representation of a simple Lie group G to the cohomology of a certain moduli space associated with the dual group G. In this correspondence, a principal SL2 subgroup of G makes an unexpected appearance. Why this happens can be explained using gauge theory, as we will see in this article, with the help of the equations of Nahm and Bogomolny. (Based on a lect...
متن کاملThe Bogomolny Equations and Solutions for Einstein-Yang-Mills-Dilaton-σ Models
We derive Bogomolny equations for an Einstein-Yang-Mills-dilaton-σ model (EYMD-σ) on a static spacetime, showing that the Einstein equations are satisfied if and only if the associated (conformally scaled) threemetric is flat. These are precisely the static metrics for which which super-covariantly constant spinors exist. We study some general properties of these equations and then consider the...
متن کاملOn the numerical solution of generalized Sylvester matrix equations
The global FOM and GMRES algorithms are among the effective methods to solve Sylvester matrix equations. In this paper, we study these algorithms in the case that the coefficient matrices are real symmetric (real symmetric positive definite) and extract two CG-type algorithms for solving generalized Sylvester matrix equations. The proposed methods are iterative projection metho...
متن کاملGeometric Langlands duality and the equations of Nahm and Bogomolny
This paper is intended as an introduction to the gauge theory approach [15] to the geometric Langlands correspondence. But, rather than a conventional overview, which I have attempted elsewhere [25, 26], the focus here is on understanding a very particular result, which I learned of from [13]. (Another standard reference on closely related matters is [17].) This introduction is devoted to descr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2012
ISSN: 1029-8479
DOI: 10.1007/jhep05(2012)112